Rolle's Theorem
Category : JEE Main & Advanced
If \[f(x)\]is such that,
(i) It is continuous in the closed interval \[[a,\,\,b]\]
(ii) It is derivable in the open interval \[(a,\,b)\]
(iii) \[f(a)=f(b)\]
Then there exists at least one value \['c'\] of \[x\] in the open interval \[(a,\,\,b)\] such that \[f'(c)=0\].
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